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J. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, 1996).
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4
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D. ben-Avraham, in Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, 1997).
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85036203632
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The statement of correctness of the mean field theory in (Formula presented) has to be understood properly. For instance, the effective reaction rate entering the Smoluchowski coagulation equation is not equal to the bare reaction rate due to the strong ultraviolet divergence of Feynman integrals contributing to the renormalization of the reaction rate. As a result, the density-density correlation function is not equal to the product of the one-point function, but rather is proportional to it. Yet, as the renormalized reaction rate in (Formula presented) is a constant depending on lattice spacing, decay exponents are predicted by the mean field correctly
-
The statement of correctness of the mean field theory in (Formula presented) has to be understood properly. For instance, the effective reaction rate entering the Smoluchowski coagulation equation is not equal to the bare reaction rate due to the strong ultraviolet divergence of Feynman integrals contributing to the renormalization of the reaction rate. As a result, the density-density correlation function is not equal to the product of the one-point function, but rather is proportional to it. Yet, as the renormalized reaction rate in (Formula presented) is a constant depending on lattice spacing, decay exponents are predicted by the mean field correctly.
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85036322708
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C. Itzykson and J.-M. Drouffe, Statistical Field Theory, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, 1994)
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C. Itzykson and J.-M. Drouffe, Statistical Field Theory, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, 1994).
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35
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85036383401
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S. Krishnamurthy, R. Rajesh, and O. Zaboronski (unpublished)
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S. Krishnamurthy, R. Rajesh, and O. Zaboronski (unpublished).
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